Quantum systems that have never interacted can become nonlocally correlated through a process called entanglement swapping. To characterize nonlocality in this context, we introduce local models where quantum systems that are initially uncorrelated are described by uncorrelated local variables. While a pair of maximally entangled qubits prepared in the usual way (i.e., emitted from a common source) requires a visibility close to 70% to violate a Bell inequality, we show that an entangled pair generated through entanglement swapping will already violate a Bell inequality for visibilities as low as 50% under our assumption.
@article{arxiv.0911.1314,
title = {Characterizing the nonlocal correlations of particles that never interacted},
author = {Cyril Branciard and Nicolas Gisin and Stefano Pironio},
journal= {arXiv preprint arXiv:0911.1314},
year = {2010}
}